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1374236640 = 253257136333
BaseRepresentation
bin101000111101001…
…0010111111100000
310112202212110021100
41101322102333200
510303301033030
6344210354400
746024550550
oct12172227740
93482773240
101374236640
116457a2367
1232428ba00
1318b92ac9a
14d0727160
15809a6360
hex51e92fe0

1374236640 has 144 divisors (see below), whose sum is σ = 5359562208. Its totient is φ = 314108928.

The previous prime is 1374236639. The next prime is 1374236641. The reversal of 1374236640 is 466324731.

It is a happy number.

1374236640 is a `hidden beast` number, since 1 + 3 + 7 + 4 + 2 + 3 + 6 + 640 = 666.

1374236640 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1374236639) and next prime (1374236641).

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1374236595 and 1374236604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1374236641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58087 + ... + 78246.

It is an arithmetic number, because the mean of its divisors is an integer number (37219182).

Almost surely, 21374236640 is an apocalyptic number.

1374236640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1374236640 is an abundant number, since it is smaller than the sum of its proper divisors (3985325568).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1374236640 is a wasteful number, since it uses less digits than its factorization.

1374236640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136361 (or 136350 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 1374236640 is about 37070.6978623279. The cubic root of 1374236640 is about 1111.7842256835.

The spelling of 1374236640 in words is "one billion, three hundred seventy-four million, two hundred thirty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 70 72 80 84 90 96 105 112 120 126 140 144 160 168 180 210 224 240 252 280 288 315 336 360 420 480 504 560 630 672 720 840 1008 1120 1260 1440 1680 2016 2520 3360 5040 10080 136333 272666 408999 545332 681665 817998 954331 1090664 1226997 1363330 1635996 1908662 2044995 2181328 2453994 2726660 2862993 3271992 3817324 4089990 4362656 4771655 4907988 5453320 5725986 6134985 6543984 7634648 8179980 8588979 9543310 9815976 10906640 11451972 12269970 13087968 14314965 15269296 16359960 17177958 19086620 19631952 21813280 22903944 24539940 28629930 30538592 32719920 34355916 38173240 39263904 42944895 45807888 49079880 57259860 65439840 68711832 76346480 85889790 91615776 98159760 114519720 137423664 152692960 171779580 196319520 229039440 274847328 343559160 458078880 687118320 1374236640